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Finding the Fourth Proportional to 453.50, 625.84 and 257

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Solution

The fourth proportional to 453.50, 625.84 and 257 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.50 : 625.84 = 257 : x
  2. Step 2: Convert to fraction form
    453.50/625.84 = 257/x
  3. Step 3: Cross multiply
    453.50x = 625.84 × 257
  4. Step 4: Simplify right side
    453.50x = 160,839.60
  5. Step 5: Solve for x
    x = 160,839.60/453.50
  6. Step 6: Final answer
    x = 354.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.